The distribution of Skull Shapes

I have an old manuscript that is published in very few copies that is about the statistical properties of various skull shapes.

I can personally guarantee you that the distribution of human like skull shapes is leptokurtic. If you think it is Gaussian distributed it is because you not looked close enough at enough skulls!

For example elongated skulls are more common than you would think based on the Gaussian skull-model.

Well also mixture of Gaussians give fat-tails, did you mention Aliens ?

I swear at the same time I walked into this strange store in New York city looking at this replica of an elongated skull a woman with elongated head shape walked into the store and looked strangely at me ( it was a bit scary, a bit too much of a black swan event, but there was no impact.).

Elongated head shapes (skulls) are out of fashion, but looks like still fashion in tiny parts of the world. There is lots of archeological evidence that elongated heads (headshaping) were popular in big parts of the world in the ancient past.

Stochastic Fashion Headshaping

Financial markets are partly shaped by humans (part by nature, nature catastrophes etc), human skulls are also partly shaped by humans and partly by nature. They both have leptokurtic distribution, but there is much more to it.

Step out of your office, travel this wonderful world, observe, observe, yes there are still people with elongated head shapes out there, they are not aliens, well for someone spending most of his life at the university campus a lot of phenomena are Alien, they exclude it and end up living with their Gaussian models, changes in head shapes over time is not stochastic volatility it is stochastic fashion.

Okay I am soon heading far east, wonder what skull shapes I will observe there.